Description
Book SynopsisA clear exposition of the dynamics of mechanical systems from an engineering perspective. This new edition includes revised sections to enhance understanding, added examples and homework problems and a thorough development of computational methods for solving the differential equations of motion for constrained systems.
Trade Review"It is clear that a student who masters all the material in this book will have a very good basis for doing research on a wide range of subjects...a good reference book for libraries and students of mechanics..." Applied Mechanics Reviews
"Especially notable is the development of rotation transformations for describing the position and orientation of rigid bodies in spatial motion." Mechanical Engineering
Table of Contents1. Basic considerations; 2. Introduction; 3. Newton's Laws; 4. Systems of Units; 5. Vector Calculus; 6. Energy and Momentum; 7. Brief Biographical Perspective; 8. Particle Kinematics; 9. Path Variables-Intrinsic Coordinates; 10. Rectangular Cartesian Coordinates; 11. Orthogonal Curvilinear Coordinates; 12. Joint Kinematical Descriptions; 13. Relative Motion; 14. Rotation Transformations; 15. Finite Rotations; 16. Angular Velocity and Derivatives of Rotating Vectors; 17. Angular Acceleration; 18. Derivative of an Arbitrary Factor; 19. Velocity and Acceleration Using a Moving Reference Frame; 20. Observations from a Moving Reference System; 21. Kinematics of Rigid Bodies; 22. General Equations; 23. Eulerian Angles; 24. Interconnections; 25. Rolling; 26. Newtonian Kinetics of a Rigid Body; 27. Fundamental Principles; 28. Evaluations of Angular Momentum and Inertia Properties; 29. Rate of Change of Angular Momentum; 30. Equations of Motion; 31. Planar Motion; 32. Impulse-Momentum and Work-Energy Principles; 33. System of Rigid Bodies; 34. Introduction of Analytical Mechanics; 35. Generalized Coordinates and Degrees of Freedom; 36. Constraints - Holonomic and Nonholonomic; 37. Virtual Displacements; 38. Generalized Forces; 39. Hamilton's Principle; 40. Lagrange's Equations. 41. Further Concepts in Analytical Mechanics; 42. Constrained Generalized Coordinates; 43. Computational Methods in the State-Space; 44. Hamiltonian Mechanics and Further Conservation Principles; 45. Gibbs-Appell Equations for Quasi-Coordinates; 46. Gyroscopic Effects; 47. Free Motion; 48. Spinning Top; 49. Gyroscopes for Inertial Guidance; Appendix; Answers to even-numbered problems; Index.
